Loose Leaf For Explorations: Introduction To Astronomy
9th Edition
ISBN: 9781260432145
Author: Thomas T Arny, Stephen E Schneider Professor
Publisher: McGraw-Hill Education
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Chapter 13, Problem 4TY
To determine
The surface temperature of a star when it
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Estimate the surface temperature of a star that emits an intense light of frequency
4.8 ×104 Hz.
(а) 6000 K
(b) 6640 K
(с) 4640 K
(d) 4440 K
1. The Sun radiates energy like a black body with temperature 5800 K. Use the Stefan-Boltzmann Law to calculate the Sun's Luminosity (which is the Sun's Surface Area times the Flux radiated per unit surface area.
Use the following parameters:
Sun's Radius = R = 6.96 x 1010 cm Stefan-Boltzmann Const = s = 5.67 x 10-5 ergs/cm2 K4 sSun's Temperature = T = 5800 K Formula for Luminosity: L = 4pR2 sT 4
What is the Sun's Luminosity? __________ ergs/s
The temperature of a star is 4990 K. Calculate the power per unit area radiated by the star
in 519 nm to 525 nm range.
(a) 0.230 MW/m
(b) 0.384 MW/m
(c) 0.390 MW/m2
(d) 0.220 MW/m2
Chapter 13 Solutions
Loose Leaf For Explorations: Introduction To Astronomy
Ch. 13 - Prob. 1QFRCh. 13 - Prob. 2QFRCh. 13 - Prob. 3QFRCh. 13 - Prob. 4QFRCh. 13 - Prob. 5QFRCh. 13 - Prob. 6QFRCh. 13 - Prob. 7QFRCh. 13 - Prob. 8QFRCh. 13 - Prob. 9QFRCh. 13 - Prob. 10QFR
Ch. 13 - Prob. 11QFRCh. 13 - Prob. 12QFRCh. 13 - Prob. 13QFRCh. 13 - Prob. 14QFRCh. 13 - Prob. 15QFRCh. 13 - Prob. 16QFRCh. 13 - Prob. 17QFRCh. 13 - Prob. 18QFRCh. 13 - Prob. 19QFRCh. 13 - Prob. 20QFRCh. 13 - Prob. 1TQCh. 13 - Would it be easier to measure a star's parallax...Ch. 13 - Prob. 3TQCh. 13 - Prob. 4TQCh. 13 - Prob. 5TQCh. 13 - Prob. 6TQCh. 13 - Prob. 7TQCh. 13 - Prob. 8TQCh. 13 - Prob. 9TQCh. 13 - Prob. 10TQCh. 13 - Prob. 1PCh. 13 - Prob. 2PCh. 13 - Prob. 3PCh. 13 - Prob. 5PCh. 13 - Prob. 6PCh. 13 - Prob. 7PCh. 13 - Prob. 8PCh. 13 - Prob. 9PCh. 13 - Prob. 10PCh. 13 - Prob. 11PCh. 13 - Prob. 12PCh. 13 - Prob. 13PCh. 13 - Prob. 14PCh. 13 - Prob. 15PCh. 13 - Prob. 16PCh. 13 - Prob. 17PCh. 13 - Prob. 1TYCh. 13 - Prob. 2TYCh. 13 - Prob. 3TYCh. 13 - Prob. 4TYCh. 13 - Prob. 5TYCh. 13 - Prob. 6TYCh. 13 - Prob. 7TYCh. 13 - Prob. 8TYCh. 13 - Prob. 9TY
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- Astronomers use two basis properties of stars to classify them. These two properties are luminosity and surface temperature. Luminosity usually refers to the brightness of the star relative to the brightness of our sun. Astronomers will often use a star’s color to measure its temperature. Stars with low temperatures produce a reddish light while stars with high temperatures shine with a brilliant blue—white light. Surface temperatures of stars range from 3000o C to 50,000o C. When these surface temperatures are plotted against luminosity, the stars fall into groups. Using the data similar to what you will plot in this activity, Danish astronomer Ejnar Hertzsprung and United States astronomer Henry Norris Russell independently arrived at similar results in what is now commonly referred to as the HR Diagram. Procedures:1. Read the Background Information 2. On the graph paper provided. Place a number next to the star according to its luminosity and surface temperature listed in the data…arrow_forwardImagine a planet orbiting a star. Observations show a Doppler shift in the star's spectrum of 58 m/s over the 3.3 day orbit of the planet. What is the mass of the planet in kg? Assume the star has the same mass as the Sun (2.0 x1030 kg), there are 365.25 days in a year, and 1AU = 1.5 x 1011 m.arrow_forwardThe sun has a radius of 6.959 × 108 m and a surface temperature of 5.81 x 10° K. When the sun radiates at a rate of 3.91 x 1026 W and is a perfect emitter. What is the rate of energy emitted per square meter? Stefan-Boltzmann constant is 5.67 x 10-8 J/s-m2 K4 a) 5.6 x 107 W/m2 b) 12.8 x 107 W/m2 c) 6.4 x 107 W/m2 25.6 x 107 W/m2 5.6 x 1017 W/m2arrow_forward
- Imagine a planet orbiting a star. Observations show a Doppler shift in the star's spectrum of 66 m/s over the 4.5 day orbit of the planet. What is the mass of the planet in kg? Assume the star has the same mass as the Sun (2.0 x 1030 kg), there are 365.25 days in a year, and 1AU = and 1.5 x 1011 m.arrow_forwardHelp me pleasearrow_forward1 Solar constant, Sun, and the 10 pc distance! The luminosity of Sun is + 4- 1026 W - 4- 1033ergs-1, The Sun is located at a distance of m from the Earth. The Earth receives a radiant flux (above its atmosphere) of F = 1365W m- 2, also known as the solar constant. What would have been the Solar contact if the Sun was at a distance of 10 pc ? 1AU 1 1.5-+ 1011arrow_forward
- B2. A spherical star is detected by an astronaut in a spacecraft at a distance z of 1.5×10¹2 kilometers. The star can be regarded as a blackbody with a temperature of 11,300 K. The radius r of the star is 3.5×106 kilometers. (a) Calculate the radiant exitance and the radiant intensity of the star. (b) Calculate the irradiance that can be detected by the astronaut. (c) The photodetector used by the astronaut in the spacecraft has a responsivity of 120 kV/W and an photosensitive area of 0.5 mm². Calculate the output voltage of the detector in the detection of the star. CAMINS +II+ Figure B2arrow_forwardConsider a star for which the stellar power per unit area at distance 1 AU from the star is 3.7 kW/m^2. Assume the radius of the star is 0.005 AU (similar to Sol). What is the surface temperature of the star?arrow_forwardWhat is the rate of thermal radiation emitted from a star with a radius of 2.310 x 109 m anda surface temperature of 8,420 K? Assume that the spherical surface behaves as a blackbody radiator.[Surface Area of a sphere = 4rr?: Area of a circle = Mr? or (Tt/4)d21arrow_forward
- The text says that the Local Fluff, which surrounds the Sun, has a temperature of 7500 K and a density 0.1 atom per cm3. The Local Fluff is embedded in hot gas with a temperature of 106 K and a density of about 0.01 atom per cm3. Are they in equilibrium? (Hint: In pressure equilibrium, the two regions must have nT equal, where n is the number of particles per unit volume and T is the temperature.) What is likely to happen to the Local Fluff?arrow_forwardTable 15.1 indicates that the density of the Sun is 1.41 g/cm3. Since other materials, such as ice, have similar densities, how do you know that the Sun is not made of ice?arrow_forwardAppendix I lists some of the nearest stars. Are most of these stars hotter or cooler than the Sun? Do any of them emit more energy than the Sun? If so, which ones?arrow_forward
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